Electronics and Communication Engineering - Networks Analysis and Synthesis

31.
In the series circuit shown in figure, for series resonance, the value of the coupling coefficient, K will be
0.25
0.5
0.1
1
Answer: Option
Explanation:

Mutual inductance wm = ωk L1L2

m = k. 2. 8j2 = 4k. j

Z = 20 - j10 + j2 + j6 + 2.4kj - 2j + 8kj = 0 at resonance

-2 = -8k

k = 1/4 0.25 .


32.
The degree of the nodes 1, 2, 3, 4 is
2
3
2 for 1, 2, 3, and 3 for 4
all 3
Answer: Option
Explanation:

Degree of node is the no.of branch incident to it.


33.
In an RC series circuit R = 100 Ω and XC = 10 Ω. In this circuit
the current and voltage are in phase
the current leads the voltage by about 6°
the current leads the voltage by about 84°
the current lags the voltage by about 6°
Answer: Option
Explanation:

In RC circuit the current leads the voltage.


34.
The impedance of an RC series circuit is 12 Ω at f= 50 Hz. At f= 200 Hz, the impedance will be
more than 12
less than 3
more than 3 Ω but less than 12 Ω
more than 12 Ω but less than 24 Ω
Answer: Option
Explanation:

Z = R2 + XC2. When f is made four times, XC becomes one-fourth but R remains the same.


35.
A current is flowing through a conductor with non-uniform area of cross-section. Then
current will be different at different cross-sections.
current will be the same at all the cross-sections.
current will be different but current density will be same at all the cross-sections
current will be the same but current density will be different at different cross-sections.
Answer: Option
Explanation:

Current density = current/area of cross-section. Same current throughout the conductor.

Since, area of cross-section is non-uniform, current density will be different at different cross-sections.